Comparative Study between Optimal Homotopy Asymptotic Method and Perturbation-Iteration Technique for Different Types of Nonlinear Equations

Bildik N., Deniz S.

Iranian Journal of Science and Technology, Transaction A: Science, vol.42, no.2, pp.647-654, 2018 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.1007/s40995-016-0039-2
  • Journal Name: Iranian Journal of Science and Technology, Transaction A: Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.647-654
  • Keywords: Nonlinear differential equation, Optimal homotopy asymptotic method, Perturbation-iteration method
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we compare optimal homotopy asymptotic method and perturbation-iteration method to solve random nonlinear differential equations. Both of these methods are known to be new and very powerful for solving differential equations. We give some numerical examples to prove these claims. These illustrations are also used to check the convergence of the proposed methods.